A study of the correlations between jet quenching observables at RHIC

Focusing on four types of correlation plots, $R_{\mathrm{A}\mathrm{A}}$ vs. $v_2$, $R_{\rm AA}$vs\mathrm{.}$I_{\rm AA}$,$I_{\rm AA}$vs\mathrm{.}$v_2^{I_{\rm AA}}$and$v_2vs.\v_2^{I_{\rm AA}}$, we demonstrate how the centrality dependence of \emph{correlations} between multiple jet quenching observables provide valuable insight into the energy loss mechanism in a quark-gluon plasma. In particular we find that a qualitative energy loss model gives a good description of $R_{\mathrm{A}\mathrm{A}}$ vs.\ $v_2$ only when we take $\mathrm{\Delta }E\sim l^3$ and a medium geometry generated by a model of the Color Glass Condensate. This same $\Delta E\sim l^3$modelalsoqualitativelydescribesthetrigger$p_T$dependenceof$R_{\rm AA}vs.\I_{\rm AA}$ data and makes novel predictions for the centrality dependence for this $R_{\mathrm{A}\mathrm{A}}$ vs.\ $I_{\mathrm{A}\mathrm{A}}$ correlation. Current data suggests, albeit with extremely large uncertainty, that $v_2^{I_{\mathrm{A}\mathrm{A}}}\gg v_2$, a correlation that is difficult to reproduce in current energy loss models.